Interesting idea. Individual miners could mine just as they normally would, but pool proceeds go directly to SatoshiDice?
I think I might have not been clear enough in my OP.
I am talking about a situation where, similar to mining pools, people pool their resources (in this case bitcoins instead of mining hardware) to achieve the same goal (getting a jackpot). In other words, there is an address for them to send bitcoins to, it records their address as a "shareholder", and records the amount sent divisible by 0.01 BTC as "shares". Then it proceeds to bet with those shares. If it wins *ever*, all "shareholders" in that iteration will get the amount sent to them in proportion to how many shares they own and how many shares there are total. After that, it could either keep the same shareholders on board or wipe the slate clean each jackpot.
If it took 1000 people each putting in 1 BTC to get 640 BTC, then they'd get less than 1 BTC back obviously, but that might not happen. The point of this would be to allow more people more chances of winning *something* and not depleting their wallets in the process. It probably doesn't change the probabilities of hitting a jackpot *at all*, but it does actually change the probabilities of a single person winning part of it.
TL;DR? Crowdfunded gambling.